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Finding the Fourth Proportional to 32,821.20, 49,231.80 and 16,189.20

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Solution

The fourth proportional to 32,821.20, 49,231.80 and 16,189.20 is: 24,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.20 : 49,231.80 = 16,189.20 : x
  2. Step 2: Convert to fraction form
    32,821.20/49,231.80 = 16,189.20/x
  3. Step 3: Cross multiply
    32,821.20x = 49,231.80 × 16,189.20
  4. Step 4: Simplify right side
    32,821.20x = 797,023,456.56
  5. Step 5: Solve for x
    x = 797,023,456.56/32,821.20
  6. Step 6: Final answer
    x = 24,283.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.